1. Objective: To solve and graph compound inequalities involving “or”.
Ch 2.3 Compound “or”
Objective:
To solve and graph compound inequalities involving “or”.

2. Generally, the inequality symbols will face opposite directions
Definition
Compound Inequality:
Two inequalities connected by the word AND or OR
Both inequalities share a graph/number line
Rules
Solve each equation separately using rules for inequalities
Graph each solution separately on the same number line
Generally, the inequality symbols will face opposite directions

3. x < -2 x > 5 x < 5 x > 3 Example 1 Example 2 or Graph
x = Any Real Number

4. x 5 x 5 ≥ ≥ < < x 10 x 10 Example 3 or Solve and graph. − <
− < or
− ≥
< ≥
x 5
x 5 ≥ ≥
<
< x x 10

5. x -7 x -7 ≤ ≤ x 12 x 12 ≥ ≥ Example 4 or Solve and graph. − ≥ − ≤ −
− ≥ or
− ≤ −
− −
− −
x -7
x -7 ≤ ≤
− ≤ −
− −
x 12
x 12 ≥ ≥ 12

6. n + 5 ≤ -5 or n + 10 > 1 10k > 70 or 2k ≤ -6 Classwork
2) Solve and graph.
1) Solve and graph.
n + 5 ≤ -5 or n + 10 > 1
10k > 70 or 2k ≤ -6

7. Classwork
4) Solve and graph.
3) Solve and graph. or
x + 4 > 7 or

8. Classwork
6) Solve and graph.
5) Solve and graph.
-2p + 10 < -10 or 2 – 7p > -61
5 – 7x < -65 or 7x - 9 < -37